Power boundedness in Banach algebras associated with locally compact groups

• Autorzy: E. Kaniuth , A. T. Lau , A. Ülger
• Języki publikacji: EN

Abstrakty

EN

Let G be a locally compact group and B(G) the Fourier-Stieltjes algebra of G. Pursuing our investigations of power bounded elements in B(G), we study the extension property for power bounded elements and discuss the structure of closed sets in the coset ring of G which appear as 1-sets of power bounded elements. We also show that L¹-algebras of noncompact motion groups and of noncompact IN-groups with polynomial growth do not share the so-called power boundedness property. Finally, we give a characterization of power bounded elements in the reduced Fourier-Stieltjes algebra of a locally compact group containing an open subgroup which is amenable as a discrete group.

Kategorie tematyczne

• 46J10: Banach algebras of continuous functions, function algebras
• 43A40: Character groups and dual objects
• 22D15: Group algebras of locally compact groups
• 43A20: L 1 -algebras on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 222
• Numer: 2
• Strony: 165-189

Daty

wydano

2014

Twórcy

autor

E. Kaniuth

• Institute of Mathematics, University of Paderborn, D-33095 Paderborn, Germany

autor

A. T. Lau

• Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada T6G 2G1

autor

A. Ülger

• Department of Mathematics, Koc University, 34450 Sariyer, İstanbul, Turkey

Identyfikatory

DOI

10.4064/sm222-2-4